identifying role of extension system in adoption of new technologies have important role to developing favorable extension systems. for supporting sustainable agriculture in iran needs extension systems to be carefully thought and accurately implemented. the purpose of this is analyzing role of extension activities in adoption of sustainable agriculture. based on the results the attending agric...

The presented splitting lemma extends the techniques of Gromov and Forstneri\v{c} to glue local sections a given analytic sheaf, key step in proof all Oka principles. novelty on which depends is lifting for transition maps coherent sheaves, yields reduction work Forstneri\v{c}. As applications we get shortcuts proofs Forster Ramspott's principle admissible pairs interpolation property elliptic ...

This paper introduces power default reasoning (PDR), a framework for nonmonotonic reasoning based on the domain-theoretic idea of modeling default rules with partial-information in a higher-order setting. PDR lifts a non-monotonic operator at the base (syntactic) level to a well-behaved, almost monotonic operator in the higher-order space of the Smyth power-domain – effectively a space of sets ...

One of the most significant discrete invariants of a quadratic form φ over a field k is its (full) splitting pattern, a finite sequence of integers which describes the possible isotropy behaviour of φ under scalar extension to arbitrary overfields of k. A similarly important, but more accessible variant of this notion is that of the Knebusch splitting pattern of φ, which captures the isotropy b...

In this paper, we are concerned with the derivation of a local error representation for exponential operator splitting methods when applied to evolutionary problems that involve critical parameters. Employing an abstract formulation of differential equations on function spaces, our framework includes Schrödinger equations in the semi-classical regime as well as parabolic initial-boundary value ...

Eukaryotic cells extend pseudopodia for movement. In the absence of external cues, cells move in random directions, but with a strong element of persistence that keeps them moving in the same direction Persistence allows cells to disperse over larger areas and is instrumental to enter new environments where spatial cues can lead the cell. Here we explore cell movement by analyzing the direction...

Let G be a connected reductive algebraic group defined over a field k of characteristic not 2, θ an involution of G defined over k, H a k-open subgroup of the fixed point group of θ and Gk (resp. Hk) the set of k-rational points of G (resp. H). The variety Gk/Hk is called a symmetric k-variety. For real and -adic symmetric k-varieties the space L(Gk/Hk ) of square integrable functions decompose...

The mechanism of chemotaxis is one of the most interesting issues in modern cell biology. Recent work shows that shallow chemoattractant gradients do not induce the generation of pseudopods, as has been predicted in many models. This poses the question of how else cells can steer towards chemoattractants. Here we use a new computational algorithm to analyze the extension of pseudopods by Dictyo...

Electronic excited states, electronic absorption, and magnetic circular dichroism (MCD) spectra of free-base tetraazaporphyrin (TAP), phthalocyanine (Pc), naphthalocyanine (Nc), and anthracocyanine (Ac) were studied by quantum chemical calculations using the symmetry-adapted cluster-configuration interaction (SAC-CI) method. Not only optically allowed states including the Q- and B-bands but als...

We show how two general notions of domain theory, the logic induced from the Scott topology on a domain, together with the Smyth powerdomain, interact with the theory of default reasoning introduced by Reiter 19]. We deene extensions, which are xed points of a certain non-monotonic operator on a Scott domain induced by a normal default set over that domain. We specialize this deenition to the S...